Enhanced statistical stability in coherent interferometric imaging

We analyze the resolution and statistical fluctuations of images when the ambient medium is random and scattering can be modeled primarily by wavefront distortion. We compare the coherent interferometric imaging method to the widely used Kirchhoff migration and show how the latter loses statistical...

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Bibliographic Details
Published in:Inverse problems 2011-08, Vol.27 (8), p.85004-33
Main Authors: BORCEA, Liliana, GARNIER, Josselin, PAPANICOLAOU, George, TSOGKA, Chrysoula
Format: Article
Language:English
Subjects:
Arrays
Coherence
Distortion
Exact sciences and technology
Image enhancement
Imaging
Interferometry
Mathematics
Migration
Physics
Stability
Statistics
Statistics Theory
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Summary:We analyze the resolution and statistical fluctuations of images when the ambient medium is random and scattering can be modeled primarily by wavefront distortion. We compare the coherent interferometric imaging method to the widely used Kirchhoff migration and show how the latter loses statistical stability at an exponential rate with the distance of propagation. In Kirchhoff migration we form images by superposing the array data back-propagated to the image domain. In coherent interferometry, we back-propagate local cross-correlations of the array data. This is a denoising process that enhances the signal-to-noise ratio of images but also reduces the resolution. We quantify analytically the trade-off between enhanced stability and reduced resolution in coherent interferometric imaging.
ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/27/8/085004